126688320 has 448 divisors, whose sum is σ = 514990080. Its totient is φ = 29030400.

The previous prime is 126688297. The next prime is 126688339. The reversal of 126688320 is 23886621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2946219 + ... + 2946261.

Almost surely, 2^126688320 is an apocalyptic number.

126688320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257495040).

126688320 is an abundant number, since it is smaller than the sum of its proper divisors (388301760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126688320 is a wasteful number, since it uses less digits than its factorization.

126688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 126688320 is about 11255.5906108920. The cubic root of 126688320 is about 502.2410338611.

The spelling of 126688320 in words is "one hundred twenty-six million, six hundred eighty-eight thousand, three hundred twenty".